It depends what the problem is. If the graph of the problem has hours on the x axis, and amount in dollars on the y axis, and the title is 'Renting Movies', then the slope in the context is the amount of money per hour to rent a movie.
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The slope of an area will determine the problem that you will be able to make, whether it is an even or a steep slope.
Very much so. The result is gratifying in its obvious reflection of the real world situation embodied in the problem.
X=5 is a vertical line, so it has no slope. When I say it has no slope, I don't mean the slope is 0, I mean the slope is nonexistent.
[ y = 12x ] is an equation, not a 'problem'. The graph of that equation is a straight line with a slope of 12 .
If you mean y = 11x then the slope is 11